Integrated intensity changes of X-ray diffraction lines for crystalline powders by grinding and compression. Relations between effective Debye parameter and lattice strain

Inagaki, Michio; Furuhashi, Hiroshi; Ozeki, T.; Naka, Shigeharu

doi:10.1007/bf00550149

Cited by 42 publications

(14 citation statements)

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“…Thus the Debye-Waller factors of CdTe powder samples carry an effect due to strain which needs to be corrected. The work on inorganic compounds by INAGAKI et al (1972INAGAKI et al ( , 1973, on metallic powders by GOPI KRISHNA and SIRDESHMUKH and the present work on semiconductor powders clearly establish the effect of lattice strains on Debye-Waller factors. While comparing Debye-Waller factors calculated from lattice dynamical models with experimental results VETELINO et al have attributed the difference to inaccuracies in the experimental values caused by neglecting the TDS corrections.…”

Section: Resultssupporting

confidence: 63%

“…There is considerable X-ray work on CdTe, but there is no study on the effect of strains on its lattice properties. INAGAKI et al (1972INAGAKI et al ( , 1973) observed a marked effect of strains on the effective Debye-Waller factors of several inorganic substances. Recently GOPI KRISHNA and SIRDESHMUKH observed the effect of lattice strains on Debye-Waller factors in metallic powders.…”

Section: Introductionmentioning

confidence: 98%

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X‐Ray Study of Strained CdTe Powders

Sirdeshmukh

Subhadra

Hussain

et al. 1993

Cryst. Res. Technol.

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Lattice strains have been produced in cadmium telluride by grinding for different durations. X-ray diffractograms have been obtained at different stages of grinding. The lattice constants, particle size, lattice strain and Debye-Waller factors have been determined. From the correlation between the strain and the effective Debye-Waller factor, the Debye-Waller factor for zero strain has been estimated.

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Section: Resultssupporting

confidence: 63%

Section: Introductionmentioning

confidence: 98%

X‐Ray Study of Strained CdTe Powders

Sirdeshmukh

Subhadra

Hussain

et al. 1993

Cryst. Res. Technol.

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“…Both lattice strain and Debye-Waller factor increase with grinding time. This is similar to the observations of Inagaki et al [5,6], Sirdeshmukh et al [7] and Gopi Krishna and Sirdeshmukh [8]. In all three cases, the Debye-Waller factor increases with grinding time and lattice strain in a slightly non-linear fashion.…”

supporting

confidence: 89%

“…It is interesting to study the effect of lattice strains on the Debye-Waller factors of these metals. Inagaki et al [5,6] showed that in several non-metallic powders, the strains produced during grinding have a significant effect on the Debye-Waller factors measured from X-ray diffraction intensities. Sirdeshmukh et al [7] observed the effect of lattice strains on the Debye-Waller factors in semiconductor powder materials.…”

mentioning

confidence: 99%

Effect of lattice strain on the Debye-Waller factors of Mg, Zn and Cd

Purushotham

Krishna

2010

Indian J Phys

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Lattice strains in Mg, Zn and Cd powders produced by grinding have been analyzed by X-ray powder diffraction. The lattice strain (e) and Debye-Waller factor (B) are determined from the half-widths and integrated intensities of the Bragg reflections. In all three cases viz. Mg, Zn and Cd, the Debye-Waller factor is found to increase with the lattice strain. From the correlation between the strain and effective Debye-Waller factor, the Debye-Waller factors for zero strain have been estimated for Mg, Zn and Cd. The variation of energy of vacancy formation as a function of lattice strain has been studied.The Debye-Waller factor is an important lattice dynamical property. Although there is considerable X-ray work on the Debye-Waller factors of Mg, Zn and Cd [1][2][3][4]. It is interesting to study the effect of lattice strains on the Debye-Waller factors of these metals. Inagaki et al [5,6] showed that in several non-metallic powders, the strains produced during grinding have a significant effect on the Debye-Waller factors measured from X-ray diffraction intensities. Sirdeshmukh et al [7] observed the effect of lattice strains on the Debye-Waller factors in semiconductor powder materials. Gopi Krishna and Sirdeshmukh [8] studied the effect of lattice strains on the Debye-Waller factor of ytterbium metal. In the present investigation the results of a systematic study of the effect of lattice strains on the Debye-Waller factors of hexagonal Mg, Zn and Cd metals are reported.The powder samples were obtained by gently filing highly pure Mg, Zn and Cd Note

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“…But it is interesting to study the effect of lattice strains on the Debye-Waller factors of these metals. Inagaki et al [5,6] showed that in several non-metallic powders, the strains produced during grinding have a significant effect on the Debye-Waller factors measured from X-ray diffraction intensities. Sirdeshmukh et al [7] observed the effect of lattice strains on the Debye-Waller factors in semiconductor powder materials.…”

Section: Introductionmentioning

confidence: 99%

Effect of Lattice Strain on Measured Thermal Properties of Fe Nanoparticles - An X-ray Diffraction Study

Purushotham¹

2019

IJFMTS

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In this paper, nano Fe particles have been produced by ball milling process. Fe powder was ball milled in an argon inert atmosphere Ball milling was carried out for the total duration of 20 hours. The sample was taken out after every 4 hours of milling and it was characterized for its particle size, lattice strain, and Debye-Waller factor, root mean square amplitudes of vibration by X-ray powder diffraction. The high-energy ball milling of Fe after 20 hours resulted in particle size of 39.44 nm and lattice stain 0.68 Lattice strains in Fe powder produced by milling have been analyzed by X-ray powder diffraction. The lattice strain (ε) and Debye-Waller factor (B) are determined from the half-widths and integrated intensities of the Bragg reflections. Debye-Waller factor is found to increase with the lattice strain. From the correlation between the strain and effective Debye-Waller factors have been estimated for Fe. The variation of energy of vacancy formation as a function of lattice strain has been studied. The lattice strain (ε) and Debye-Waller factor (B) are determined from the half-widths and integrated intensities of the Bragg reflections. In Fe, the Debye-Waller factor is found to increase with the lattice strain. From the correlation between the strain and effective Debye-Waller factor, the Debye-Waller factors for zero strain have been estimated for Fe. The variation of energy of vacancy formation as a function of lattice strain has been studied. As grinding time increases energy of vacancy formation decreases. However, the milling produces lattice strain and also enhances the effective Debye-Waller factor. By an extrapolation of the plot between the Debye-Waller factor and the lattice strain, the zero strain Debye-Waller factors are obtained for Fe. The variation of energy of vacancy formation as a function of lattice strain has been studied.

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Integrated intensity changes of X-ray diffraction lines for crystalline powders by grinding and compression. Relations between effective Debye parameter and lattice strain

Cited by 42 publications

References 4 publications

X‐Ray Study of Strained CdTe Powders

X‐Ray Study of Strained CdTe Powders

Effect of lattice strain on the Debye-Waller factors of Mg, Zn and Cd

Effect of Lattice Strain on Measured Thermal Properties of Fe Nanoparticles - An X-ray Diffraction Study

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